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Finding the Third Proportional to 238,468 and 381,030

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Solution

The third proportional to 238,468 and 381,030 is: 608,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,468 : 381,030 = 381,030 : x
  2. Step 2: Convert to fraction form
    238,468/381,030 = 381,030/x
  3. Step 3: Cross multiply
    238,468x = 381,030 × 381,030
  4. Step 4: Simplify right side
    238,468x = 145,183,860,900
  5. Step 5: Solve for x
    x = 145,183,860,900/238,468
  6. Step 6: Final answer
    x = 608,819.05

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.